Pressure Transient Analysis of the Vertical Fractured Well in Three-Separate Zone With Crossflow in Boxed Reservoirs

摘要

For low permeability or damaged formations, hydraulic fracturing is a broad applied technology. A new mathematical model of the well with infinite-conductivity vertical fractures is described in a three-separate-zone with crossflow in a boxed reservoir, Based on the model, pressure transient behaviors of the vertically fractured well intercepting a three-separate-zone with crossflow is described through the methods of Laplace transform, Fourier integral transform and Stehfest numerical inversion. The influences of parameters of the three-separate-zone with crossflow in a boxed reservoir such as rectangular boundary length (y_(eD)), half fracture length (x_(fD)), the permeability ratio (kappa_1, kappa_2, kappa_3), interporosity flow parameter (lambda_1, lambda_1), and storability ratio (omega_1, omega_2, omega_3), have the pressure response of a fractured well .Loglog diagnosis graphs of the vertically fracture well pressure are given and analyzed here. The methods can instruct the allocation of production and injection rates, dynamic forecast and development technology of the three-separate-zone with crossflow with infinite-conductivity hydraulic vertically fracture.